Values in cells given above the max one are highlighted. Point to Highlight Cells Rules or Top/Bottom Rules and then click the suitable option.
In the New Formatting Rule dialog box select Format top or bottom values only. Select Above or Below from the drop-down list and enter the number of values to highlight in the adjacent field. A data bar is a horizontal bar added to each cell, similar to a bar chart.
The color scale changes the color of each cell based on its value. Each color scale uses a two- or three-color gradient. Conditional Formatting is a tool that allows you to apply formatting to a cell or range of cells and change that formatting depending on the value of the cell or the value of a formula. For example, you can make a cell bold only if the cell value is greater than 100.
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If the magnitude of the net force acting on the particle is F , how long does it take the particle to acquire its final velocity, 2v in the positive y direction? Express your answer in terms of m, F and v If you use a numerical coefficient, use three significant figures. I found that the answer is (mv/F) but its asking with use three significant figures so how i can find it
The time taken to reach the velocity 2v is 2fv/m. Acceleration is the term used to describe the change in a moving object's velocity with relation to time.
How to calculate velocity ?The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
It is given that the force acting on the particle is F. So from Newton's law of motion;
F = ma
a =f/m
dv/dt = f/m
[tex]\int\limits^2_0{} \, dv \\[/tex][tex]= \int\limits^l_0 {f/m} \, dt[/tex]
2v = f/m * t
t = 2fv / m
Hence the time taken to reach the velocity 2v is 2fv / m
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A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball is fired with initial horizontal speed v0 . Assume acceleration due to gravity to be g = 9.80 m/s2 what is the y position of the cannonball when it is at distance d/2 from the hill? if you need to, you can use the trajectory equation for this projectile, which gives y in terms of x directly:y y=H−gx22v20x
Now When the cannonball's x position is 100 meters and its y position is 25 meters below the launch site, this (75 m above the ground).
What type of force is gravity?An mass-laden object attracted another item with mass. The strength of the force is proportional to the densities of the two surfaces and inverse to the square of the length between the two.
What is the name for gravity?All material particles of matter are subject to gravity, commonly known as gravitation. The pull of gravity tends to pull any two items or particles with nonzero mass toward one another.
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everyone at a party is talking equally loudly. if only one person were talking, the sound level would be 72 dB. find the sound level when all 38 people are talking. answer in units of db
If the sound level one person talks is 72 dB, the sound level when all 38 people are talking will be 87.8 dB.
Sound level difference is given by the expression, [tex]\Delta L=10log n[/tex], where n is the number of people.
Therefore, the difference in sound level in the given case will be
[tex]\Delta L=10log 38[/tex]
[tex]\Delta L=15.8 dB[/tex]
The final loudness will be the resultant of the initial loudness and the difference.
Final loudness = 72 + 15.8
Final loudness = 87.8 dB
Therefore, if the sound level one person talks is 72 dB, the sound level when all 38 people are talking will be 87.8 dB.
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A closed system consists of a pendulum that is swinging back and forth. If the pendulum's kinetic energy decreases, what else must happen to the energy of the system?.
It needs to have more gravitational potential energy.
When a pendulum stops swinging, what happens to its energy?The swing slows down as its kinetic energy decreases. The swing comes to an end once all of its mechanical energy has been transformed into heat energy. It no longer possesses kinetic or potential energy. However, the system's overall energy remains constant.
What happens to the kinetic energy when the pendulum swings to the opposite side?The kinetic energy of the pendulum bob is now decreasing from this maximum value as it swings past the bottom, and will continue to do so until gravity completely transforms it back into potential energy.
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a 9.25 cm -diameter toy top has a moment of inertia of 0.000412 kg m2 about its rotation axis. a string is wrapped around the outside edge of the top. the string is long enough to wrap around the top at least five whole turns. to get the top spinning, its string is pulled with a constant tension of 0.49 n. the tension force is tangent to the circular top.
The time taken to complete its first five revolutions is 1.07 seconds.
We need to know about torque to solve this problem. Torque is the rotational equivalent of linear force. It can be determined as
τ = F x r
where τ is torque, F is perpendicular force and r is radius.
Torque is also can be calculated by the moment of inertia
τ = I . α
where I is moment of inertia and α is angular acceleration.
From the question above, the parameters given are
F = 0.49 N
I = 0.000412 kgm²
d = 9.25 cm
r = 0.04625 m
N = 5 turns
Find the angular acceleration
τ = τ
I . α = F x r
0.000412 . α = 0.49 . 0.04625
α = 55.01 rad/s²
Find the displacement of total revolution (θ)
θ = N . 2π
θ = 5 . 2π
θ = 10π rad
Find the time taken
θ = 1/2 . α . t²
10π = 1/2 . 55.01 . t²
t² = 1.14
t = 1.07 seconds
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the crank oa rotates in the vertical plane with a constant clockwise angular velocity woof 3.9 rad/s. for the position where oa is horizontal, calculate the force under the light roller b of the 17.0-kg slender bar ab
The centripetal force under the light roller b of the 17.0-kg slender bar ab is 465.4 N
What is the force under light roller?The force under light roller b is calculated by applying Newton's second law of motion.
Newton's second law of motion states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
Mathematically, this law is written as;
F = ma
where;
m is the mass of the objecta is the accelerationin a circular path, we centripetal acceleration, which is given as;
ac = ω²r
where;
ω is the angular speedr is the radius of the pathThe radius of the circular path in this case corresponds to length ab = 1.8 m
F = m(ω²r)
F = 17 x (3.9² x 1.8)
F = 465.4 N
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The complete question is below;
the crank oa rotates in the vertical plane with a constant clockwise angular velocity woof 3.9 rad/s. for the position where oa is horizontal, calculate the force under the light roller b of the 17.0-kg slender bar ab which is equal to 1.8 m.
how many meters does a tossed baseball fall beneath a straight-line path in traveling for 1 ss ? for 2 ss ?
For t = 1 second, the distance travelled will be 5m
For t = 2 seconds, the distance travelled will be 20m
What is a projectile motion?Projectile motion is the motion of a body which experiences both vertical and horizontal motions from point of flight up to the point of landing. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.
From the question;
For t = 1 second
[tex]H = ut + \frac{1}{2}gt^{2}[/tex]
but u = 0, so;
[tex]H = \frac{1}{2} gt^{2}[/tex]
where g = 10m/s2
H = 1/2 x 10 x 1 x 1
H = 5m
For t = 2 seconds
[tex]H = ut + \frac{1}{2}gt^{2}[/tex]
but u = 0, so;
[tex]H = \frac{1}{2} gt^{2}[/tex]
where g = 10m/s2
H = 1/2 x 10 x 2 x 2
H = 20m
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What force does a full moon exert on such a human when it is directly overhead with its center 378,000 km away?.
The moon pulls a person with a force of 2.4 10 3N. 2.4 × 10 − 3 N . Therefore, the moon's force on the guy is 3.5 x 10-6. 3 5 10 6 times the size of the earth.
Explain about the Force?The definition of "force" is unambiguous. It is quite acceptable to refer to a force of this level as a push or a pull. It's incorrect to say that an object "has in it" or "contains" a force. A force is experienced by one thing from another. The concept of a force makes no distinction between living creatures and inanimate objects.
A mass-containing object's velocity is altered by a push or pull. An external force is a force that can change a body's resting or moving condition. There is a magnitude and a direction to it.
It is common to utilize Isaac Newton's three principles of motion, which are described in his Principia Mathematica, to demonstrate the idea of force (1687)
= 3.78 x 108 m2 = 6.67 x 10-11N.m2kg27.35 x 1022 kg 70 kg
= 2.40 x 10-3 N
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________ occurs when one physical device, such as a smartphone, provides the functions that previously required many physical devices, such as gps navigators, flashlights, medical devices, credit cards, texting, and cellular phones.
Dematerialization occurs when one physical device, such as a smartphone, provides the functions that previously required many physical devices, such as GPS navigators, flashlights, medical devices, credit cards, texting, and cellular phones.
Dematerialization is the process of changing your physical stocks and securities into digital or digital form. The simple timetable is to smoothen the technique of buying, promoting, shifting, and conserving stocks and additionally approximately making it value-powerful and foolproof.
It is the primary requirement to open a Demat account earlier than transacting within the Indian monetary marketplace. The Demat account eliminates all of the dangers that have been related to the keeping of stocks or securities inside the bodily shape.
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when an object is located 38 cm to the left of a lens, the image is formed 22 cm to the right of the lens. what is the focal length of the lens?
The focal length located 38 cm to the left of a lens, the image is formed 22 cm to the right of the lens is the distance between the lens and the focal point.
All this lenses possesses focal point which is the point where all light incident on the lens converges after reflection. This focal point is closer to the pole of the curved lens. The length between this focal point of the curved mirror and the pole of the lens is therefore the focal length of the lens.
Object distance (u) = 38cm
Image distance(v) = 22cm
Focal length(f) =?
Lens formula:
1/f = 1/u + 1/v
1/f = 1/38 + 1/22
Taking the L. C. M of 22 and 38
1/f = (22 + 38) / 836
1/f = 60/836
Taking the reciprocal
f = 836/60
f = 13.9cm
Therefore, Focal length of the lens is 13.9 cm
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ive a basis for each of the given vector spaces over the given field. what is the degree of each field extension?
A subset of vectors in a vector space that are linearly independent and span the entire space is known as a vector basis.
What is basis vector in vector space?
Make V, for some n, a subspace of Rn. If B is linearly independent and spans V, it is said to be a collection of vectors from V with the formula B = v 1, v 2,..., v r. The collection cannot serve as a foundation for V if either of these requirements is not met. Any vector in V can be written as a linear combination of the vectors in a collection of vectors if it spans V and contains enough vectors to do so. Because there aren't too many vectors in the collection, none of them can start to depend on the others if it is linearly independent. Thus, a basis appears to be the perfect size: It can span the room, but it isn't very large.Example 1: Since the vectors I and j are linearly independent and the collection i, j spans R 2, it serves as a basis for R2. The standard basis for R 2 is what is meant by this. Similar to this, the set i, j, k is referred to as the standard basis for R 3 and is, generally speaking, the standard basis for R n.To Learn more About vector basis refer to:
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Can rocks be magnetized?.
Studies investigated that rocks in their natural environment in shallow layers of Earth's crust are heated there naturally and can become magnetized.
3 foremost minerals (magnetite, pyrrhotite, and ilmenite) are strongly interested in a magnet. Two varieties of rock – serpentine and ironstone are nearly usually magnetic.
As magma or lava cools, those minerals start to shape. At this point, the molten rock has no longer completely solidified, so the magnetic minerals floating inside the molten mass, end up aligned with the magnetic subject.
Water is discovered in interior rocks nearly anywhere, even very deep underneath the earth's floor where it's far particularly warm. The water inside hot rocks may be very warm as well, and when this fluid comes to the earth's floor, it may generate electricity.
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if the maximum force that any member can support is 8 kn in tension and 6 kn in compression, determine the maximum force p that can be supported at joint d.
According to the given statement The maximum force p that can be supported at joint d is -P / √3 .
What is compression in physics with example?Pressing two spring ends together is a common visual representation of compression force. The physical shape of the spring gets compacted as compressive pressure is applied to it. The spring immediately extends outward and returns to its original shape when the strain is released.
Briefing:F[tex]_C_D[/tex] sin 60⁰ = P
F[tex]_C_D[/tex] = 2P / √3.................(Tension)
F[tex]_E_D[/tex] + F[tex]_C_D[/tex] cos 60⁰ = 0
F[tex]_E_D[/tex] = -2P / √3 ×1 / 2 = -P / √3 ..................(Compression)
At joint C
F[tex]_A_B[/tex] = 2P / √3 ..................(Tensile)
F[tex]_B_E[/tex] = -2P / √3 ..................(Compression)
F[tex]_A_E[/tex] + Feb cos 60⁰ = Fec cos 60⁰ + Fed
F[tex]_A_E[/tex] = -2P / √3 × 1/2 + -P / √3 + -2P / √3 × 1/2
F[tex]_A_E[/tex] = -P / √3
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What is the retention factor for a dye that travels 60 mm if the solvent travels 80 mm?.
The retention factor for a dye that travels 60 mm if the solvent travels 80 mm is 0.75.
What is the retention factor of dye?The retention factor, Rf, of a dye is the ratio of the distance traveled by the dye over the solid phase and the distance traveled by the solvent over the solid phase.
Retention factor = distance traveled by dye / distance traveled by solventThe retention factor is a measure of how strongly attracted to the solid phase the dye is.
The higher the retention factor of a dye. the less attracted the dye is to the solid support and vice versa.
Hence, molecules that are more highly charged or more polar will be attracted to polar solid support such as paper more strongly and will have lower Rf values.
The retention factor of the dye will be:
Retention factor = 60 / 80
Retention factor = 0.75
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A 90-watt red light bulb and a 60-watt green light bulb are turned on. Which bulb emits photons with the greater energy?.
A 90-watt red light bulb and a 60-watt green light bulb are turned on. Which bulb emits photons with the greater energy?. The green bulb
The green bulb, because a green photon has a greater energy than a red photon.
A photon (from historical Greek φῶς, φωτός (phôs, phōtós) 'light') is an fundamental particle that may be a quantum of the electromagnetic discipline, consisting of electromagnetic radiation including light and radio waves, and the force provider for the electromagnetic pressure. Photons are massless,[a] so that they constantly move at the rate of mild in vacuum, 299792458 m/s (or approximately 186,282 mi/s). The photon belongs to the magnificence of bosons.
As with other primary debris, photons are excellent defined via quantum mechanics and exhibit wave–particle duality, their conduct offering residences of both waves and particles. The contemporary photon idea originated in the course of the first two a long time of the twentieth century with the paintings of Albert Einstein, who built upon the research of Max Planck. while looking to explain how depend and electromagnetic radiation can be in thermal equilibrium with each other, Planck proposed that the strength stored inside a fabric item have to be appeared as composed of an integer wide variety of discrete, equal-sized elements. To give an explanation for the photoelectric impact, Einstein added the concept that mild itself is manufactured from discrete devices of strength. In 1926, Gilbert N. Lewis popularized the time period photon for these energy gadgets. eventually, many different experiments confirmed Einstein's method.
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you are performing an experiment that requires the highest possible energy density in the interior of a very long solenoid. which of the following increases the energy density? (select all that apply.)
On the solenold, increase the number more turns per unit length.
What does an automobile solenoid do?It functions as an electric and magnetic motor that is attached to your car's battery and is intended to take in low current power and start rotating the appropriately named starter gear before turning again to start a ’s electrical reaction and (in time) your full engine.
What governs a solenoid's operation?A grommet functions by establishing an electromagnet surrounds an electromagnet, which would be a vibrating nucleus. The electromagnetic field causes that armature to move, and when it does, it opens valves or switches, converting electrical energy to mechanical energy motion and force.
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The amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit. Consider an RLC circuit with Epeak = 120 V, R = 15.3 capital omega, L = 1.31 H, and C = 2.09 µ F. Find the amplitude of the voltage across the inductor at resonance.
The amplitude of the voltage across an inductor can be greater than the amplitude of the generator emf in an RLC circuit. Consider an RLC circuit with Epeak = 120 V, R = 15.3 capital omega, L = 1.31 H, and C = 2.09 µ F. The amplitude of the voltage across the inductor at resonance will be 6223.8624 V.
Peak voltage, Eo = 120 V
Resistance, R = 15.3 Ω
Inductance, L = 1.31 H
Capacitance, C = 2.09 μF = 2.09 × 10^-6 F
At resonance, the angular frequency is given by
ωo = 1/(LC)^1/2
= 1/ [(1.31×2.09 × 10^-6)^1/2]
= 0.606×10^3 rad/s
= 606 rad/s
XL = ωoL
= 606×1.31
= 793.86 ohm
Xc = 1/(ωoC)
= 1/(606×2.09 × 10^-6)
= 0.000789×10^6
=793.86 ohm
If there is resonance at the circuit then impedance will be equal to the resistance of the circuit.
So, Z = R = 15.3 ohm
Io = Eo/Z
= 120/15.3
= 7.84 A
Then ===3 across the inductor will be
VL = Io×XL
= 7.84×793.86
= 6223.8624 V
Hence, the amplitude of the voltage across the inductor at resonance is 6223.8624 V.
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If a person is pushing against a stationary wall with a force of 20 n, what force is being exerted back on the person?.
The force being exerted by the wall back on the person is equal to 20 N.
What is Newton's third law?According to Newton's third law, when two bodies interact and exert forces on each other, these forces are referred to as action and reaction pairs.
Force can be defined as a push or pull exerted on an object when it interacts with another object. Force acting between two objects is divided into two types: contact force and non-contact force.
Newton’s third law of motion can be described as when one body exerts a force on another body, the first body will experience the same magnitude of the force in the opposite direction.
Therefore, when a person is exerted 20 N force on a stationary wall then the wall will exert 20 N force on the person.
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an ambulance is traveling north at 55.1 m/s, approaching a car that is also traveling north at 32.1 m/s. the ambulance driver hears his siren at a frequency of 580 hz.
The required apparent frequency is F₀ = 1389.47 Hz
What is Doppler's Effect ?
When a wave source and its observer move in close proximity to one another, the phenomenon known as the Doppler Effect occurs. Doppler, Christian Johann's discovery, is the process by which starlight increases or decreases depending on the relative motion of the star.
The Doppler effect occurs because each wave's crest emerges from a location that is closer to the observer than the crest of the previous wave when the wave source is moving in the direction of the observer.
According to the Doppler's Effect of sound waves :
F₀ = [tex]\frac{FV}{V-V_{0} }[/tex]
where : F₀ = the apparent frequency
V = is the sound of a sound wave
F = is the actual frequency of sound
V₀ = is the source velocity
Substituting the values in the formula :
F₀ = [tex]\frac{580 X 55.1}{55.1 - 32.1}[/tex]
F₀ = [tex]\frac{31,958}{23}[/tex]
F₀ = 1389.47 Hz
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a block of mass 5.70 kg sits on top of an incline at an angle of 20.0 to the horizontal. the height of this object from the ground h= 1.10m
Kinetic friction is the name given to the force that exists between moving surfaces.
Kinetic Friction: What is it?The force that prevents an object from moving when it is sliding is known as friction. Because of kinetic friction, it is impossible for two or more things to move together at once.The force acts in the direction that an object would prefer to slide, not the opposite.Friction is produced when we apply the brakes to a moving vehicle in order to stop it. The Greek letter "mu" with the subscript "k" stands for the kinetic friction coefficient.A body is subjected to k times the usual force due to kinetic friction. It is quantified in Newtons (N).The following formula for calculating kinetic friction: (Kinetic friction coefficient) = (Kinetic friction force) (normal force).The following sentences provide descriptions of the two main types of friction: Constant Resistance and Kinetic Friction.The block's mass is 5.70 kg, and the incline's height is 1.10 meters. This is the gravitational potential.(Complete Question: In Figure 853, a block with mass m=2.5 kg enters a spring with spring constant k=320 N/ m. By the time the block comes to a stop, the spring is crushed by 7.5 cm. Kinetic friction between floors and blocks has a coefficient of 0.25. What are the blockfloor system's increased thermal energy and the work the spring force performs when the block is in contact with the spring and being brought to rest? How quickly does the block move toward the spring?
Solution: For x=0.075m and k=320N/m, Eq. 726 yields Ws =[tex]-\frac{1}{2} kx^{2} =-0.90J[/tex]. For later use, this is equivalent to what ΔU is opposite of.(b) We find that FN = mg when we study forces, which implies that [tex]F_{k}= m_{k}F_{N}=m_{k}=mg[/tex].When d=x, Eq. 831 yields : Δ[tex]E_{th} =f_{k}d=m_{k}mgx=(0.25)(2.5)(9.8)(0.075)=0.46J[/tex].(c) The initial kinetic energy is given as [tex]K_{i} =[/tex]Δ[tex]U+[/tex]Δ[tex]E_{th} =0.90+0.46=1.36J[/tex] which results in [tex]V_{i} =\sqrt{x2K_{i}/m } =1.0m/s[/tex] )To learn more about Friction refer to:
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two large planets may have high gravitational pull between them because the strength of gravity is partially based upon:
Two large planets may have high gravitational pull between them because the strength of gravity is partially based upon: mass.
Define the Law of gravitation?
Newton's law of gravitation states that-
Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them
It is expressed as-
F = G(m1m2)/R^2
where,
G is the gravitational constant,
m1 and m2 are the masses
R is the distance
More massive objects will pull apart with a stronger gravitational force because the gravitational force is directly proportional to the mass of both interacting objects. Consequently, the gravitational pull between two objects grows as their respective masses do as well. The force of gravity between two things multiplies by 2 if one of their masses doubles. The force of gravity between two objects is tripled if one of their masses is tripled. The force of gravity between two objects is multiplied by two when their masses are equal, and so on.
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Figure 9-24 shows an overhead view of four particles of equal mass sliding over a frictionless surface at constant velocity. The directions of the velocities are indicated; their magnitudes are equal. Consider pairing the particles. Which pairs form a system with a center of mass that (a) is stationary, (b) is stationary and at the origin, and (c) passes through the origin?a) Pairs from the system with a center of mass that is stationary are ac,bc and dc.
b) Pairs from the system with a center of mass that is stationary and is at the origin are bc
c) Pairs from the system with a center of mass that passes through the origin are ad and bd
The stationary and at the origin is, a) the pairs ac, bc, and dc have stationary centers of mass, b) The pair at the origin with the stationary center of masses is denoted by the symbol bc, and c) Ad and bd are the pair with the center of mass passing through the origin.
What is frictionless surface?A surface is said to be frictionless if it has a force acting on any object that is almost zero or negligible, meaning that there is no resistance between the surface and the substance, allowing the object to slide and move freely without any friction.
Therefore,
The given data
Coordinates of the four particles are:
[tex]&a=(-4 \mathrm{~m}, 2 \mathrm{~m}) \\[/tex]
[tex]&\mathrm{b}=(4 \mathrm{~m}, 2 \mathrm{~m}) \\[/tex]
[tex]&\mathrm{c}=(-4 \mathrm{~m},-2 \mathrm{~m}) \\[/tex]
[tex]&\mathrm{d}=(4 \mathrm{~m},-2 \mathrm{~m})[/tex]
Having an understanding of the center of mass. The exact center of the tile connecting two particles with equal masses is where their centers of mass are located. Two particles' centers of mass will be stationary if they are moving at equal speeds but in opposite directions. We have taken the two masses in the diagram and compared their velocities to find where their centers of mass are located.
a) system pair calculations with a stationary center of mass
Particles a and c are depicted in the illustration as having the same speed but moving in the opposite direction. This indicates that the centers of mass for pairs a and c are fixed.
Particles b and c are depicted in the illustration as having the same speed but moving in the opposite direction. This indicates that the mass centers of the pairs b and c are stationary.
Particles d and c are depicted in the figure as having the same speed but moving in the opposite direction. This indicates that the centers of mass for the pairs d and c are stationary.
Therefore, the pairs ac, bc, and dc have stationary centers of mass.
b) system pair calculations with the center of mass at rest and the origin
The origin will be crossed by the line formed by the particles b and c. The line connecting particles b and c will have the origin as its midpoint because both are equally spaced from the origin.
Two particles' centers of mass will remain stationary if they are travelling at equal speeds but in opposite directions.
The pair at the origin with the stationary center of masses is denoted by the symbol bc.
c) system pair calculations when the center of mass crosses the origin
If we draw a line connecting the particles a and d, that line will pass through the origin. As an example, take the pair of particles a and d. The origin will be the midpoint of the line connecting particles a and d because both are equally far from the origin.
They will pass through the origin as they move with some speed in the indicated direction. If we draw a line connecting the two particles b and d, that line will be parallel to the y-axis. Their midpoint will be on the x-axis because both are equally spaced from it. They will pass through the origin as they move with some speed in the indicated direction.
Ad and bd are the pair with the center of mass passing through the origin.
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A hoop of mass M and radius R rotates about an axle at the edge of the hoop.
The hoop starts at its highest position and is given a very small push to start it rotating. (Figure 1)
At its lowest position, what is the angular velocity?
Express your answer in terms of the given quantities and appropriate constants
At its lowest position, what is the speed of the lowest point on the hoop?
Express your answer in terms of the given quantities and appropriate constants.
At its lowest position, the speed of the lowest point on the hoop is √ 8 g R
U = m g h
U = Potential energy
m = Mass
g = Acceleration due to gravity
h = Height
Change in potential energy, ΔU = M g 2R
I = m r²
KE = I ω²
I = Moment of inertia
KE = Kinetic energy
ω = Angular velocity
Rotational kinetic energy of the hoop = Rotational KE of the hoop about its center + Rotational KE of the center of mass
Rotational KE of the hoop about its center = Rotational KE of the center of mass
KE = 1 / 2 M R² ω² + 1 / 2 M R² ω²
KE = M R² ω²
ΔU = KE
M g 2R = M R² ω²
ω = √ 2 g / R
v = r ω
v = 2 R √ 2 g / R
v = √ 8 g R
Therefore, at its lowest position, the speed of the lowest point on the hoop is √ 8 g R
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The zigzag movement of sand grains along a beach is ________.
A. caused by obliquely breaking waves
B. called beach drift
C. very unusual seldom occurs
D. both A and B
both A and B
The zigzag movement of sand grains along a beach is caused by obliquely breaking waves and called beach drift.
Sediments are moved in a zigzag pattern by the waves down the beach (red arrows). Sediment is mostly transferred in the surf zone. Beach drift refers to the movement of sand along the shore. Sand moves zigzag and is referred to as beach drift when the waves are crashing obliquely.The interaction between coastal waves and sea bottom leads to important coastal phenomena such wave breaking, wave-induced currents, sediment transport, and bed shape change. The mechanism that causes currents to form in the surf zone, where wave energy dissipation occurs after breaking, is wave breaking, which occurs when the wave height and steepness become very great as the water depth shallows.Thus the correct option is D.
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calculate the period of a satellite orbiting the moon, 99 km above the moon's surface. ignore effects of the earth. the radius of the moon is 1740 km .
The period of a satellite orbiting the moon, 99 km above the moon's surface is 1.96 hours.
Since the satellite is at a distance of 99 km from the surface and radius of the moon is 1740 km, the effective radius of orbit of the satellite will be
R = 1740+99 = 1839 km
Then taking the mass of the moon:
M = mass of moon = [tex]7.348\times10^{22} kg[/tex] kg
Now the time period can be calculated using the formula:
T = 2π√[R³/(GM)]
Where G is the universal gravitational constant with value [tex]6.67\times10^{-11}[/tex]
Substituting all the values we have, the time period of the given satellite of moon will be
T=7068 s =1.96 hours
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a 4.0-g string is 0.39 m long and is under tension. the string vibrates at 600 hz in its third harmonic. what is the tension in this string?
The tension on a 4g string in its third harmonic would be 250N
Why is this motion called harmonic?Because musical instruments create vibrations that match to sound waves in the air, the motion is known as harmonic.
Harmonic motion is caused by what force?When a force according to Hooke's law is present and there is no friction, the simplest of all vibrations happens. The model we will use to describe vibrations in musical instruments is known as simple harmonic motion.
What are the benefits of harmonic motion?In order to model oscillations, such as those in wind turbines and vibrations in car suspensions, simple harmonic motion is crucial in research.
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Which element is a solid at STP?.
The elements that are solid at STP are mentioned below.
An element is considered solid if
It has definite shape and volume. It particles are tightly packed and vibrate in placeIt has very high particle attractionAt STP 79 elements are solids up to uranium. Only some of them are non solid. Mercury is the only metallic element that is not solid. Mercury and bromine are liquid at STP. All noble gases and chlorine, fluorine, oxygen, nitrogen and hydrogen are gas at STP.
Therefore, the elements that are solid at STP are mentioned above.
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there are very large numbers of charged particles in most objects. why, then, don't most objects exhibit static electricity?
There are very large numbers of charged particles in most objects. but still then, don't most objects exhibit static electricity because the charges present have equal numbers of positive and negative charges which makies the object electrically neutral.
How do you define static electricity?
A common electric phenomena called static electricity occurs when charged particles are transmitted from one body to another. An attractive force forms between two items, for instance, when two objects are rubbed together, especially if the objects are insulators and the air is dry around them. The one that gains electrons is negatively charged, whereas the one that loses them is positively charged.
There are just two different kinds of charge, positive and negative. The force between charges diminishes with the cube of the distance, with like charges repelling and unlike charges attracting.Protons carry the great majority of positive charge in nature, while electrons carry the vast majority of negative charge. One electron has an electric charge that is equivalent to one proton's in magnitude and sign.An atom or molecule is an ion if it possesses an unequal amount of protons and electrons, which results in a total charge that is more than zero.Protons and electrons have charges that are opposite in sign but equal in magnitude, and the SI unit for charge is the coulomb (C).
1 e = 1.6 x 10^-19 C
Bringing two neutral things into physical touch will allow you to separate any positive or negative charges that may be present. Rubbing the two objects together can also increase the charge separation by removing electrons from one object's bonds and transferring them to the other.
Positively charged items are depleted of electrons when they are positively charged, and the opposite is true for macroscopic objects.A closed system's net charge is constant, according to the law of conservation of charge.
Hence, we see that though a large number of particles contain charge sthey do not conduct as they are electrically neutral
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the work w0 accelerates a car from 0 to 50 km>h. (a) is the work required to accelerate the car from 50 km>h to 150 km>h equal to 2w0, 3w0, 8w0, or 9w0? (b) choose the best explanation from among the following: i. the work to accelerate the car depends on the speed squared. ii. the final speed is three times the speed that was produced by the work w0. iii. the increase in speed from 50 km>h to 150 km>h is twice the increase in speed from 0 to 50 km>h.
A car is accelerated by the work from zero to 50 km/h. accelerating the car from requires 8wW0 of work.
What is a work?When pressure is applied along a displacement, work is indeed the energy that is either added to or subtracted from an item. In its basic form, it equals equal product of the force's magnitude and the travel distance for a force applied directed in the same direction as the motion.
What is the work unit in the SI?The joule is the Si derived unit of labor (J). It is described as the work accomplished over a one-meter distance by a pressure of one newton. A produce a satisfactory is something that candidates are asked to bring to a job interview, like an example of their writing or editing.
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What is the acceleration of the car in situations?.
Acceleration is the rate of change of speed as a feature of the time.
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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